Answer: Since there is no amount of texts given we will have to replace it with a variable, and 0.48 as the co-efficient. So the equation will be 0.48x+3, this is as far as you can get.
In a sample of 10 students, 7 said No to there being a difference in taste between Coke and Pepsi while 3 says Yes. What is the probably 95% agree that there is no difference in taste between coke and Pepsi?
We cannot conclude that 95% of the population agrees that there is no difference in Taste between Coke and Pepsi.
To calculate the probability that 95% of the population agrees that there is no difference in taste between Coke and Pepsi, we can use the binomial distribution formula.
Let X be the number of students who say there is no difference in taste, and n be the total number of students in the sample. Then, X follows a binomial distribution with parameters n and p, where p is the true proportion of students who say there is no difference in taste.
The point estimate of p is 7/10 = 0.7. The standard error of the proportion can be calculated as the square root of p(1-p)/n = sqrt(0.7*0.3/10) = 0.23.
Using a normal approximation to the binomial distribution, the 95% confidence interval for p is given by:
0.7 +/- 1.96*0.23 = (0.24, 1.16)
Since the interval includes 0.5, which represents the point where the proportion of agreement and disagreement is equal, we cannot conclude that 95% of the population agrees that there is no difference in taste between Coke and Pepsi.
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find the median of each of the following scores
x f fc
300-309 9 9
310-319 20 29
320-329 24 53
330-339 38 91
340-349 48 139
350-359 27 166
160-169 17 183
170-179 6 189
The median score, considering the frequency distribution in this problem, is given as follows:
334.5.
How to obtain the median of a data-set?The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than. Hence, the median also represents the 50th percentile of a data-set.
The total number of observations in the data-set is given as follows:
189.
Hence the position in the cumulative frequency table of the median element is given as follows:
0.5 x (189 + 1) = 95.
Which is in the following interval:
330-339.
Hence the median is of 334.5, as it is the middle value of the interval.
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Perform the indicated operation:
(4 + 2i) (1 + 5i)
-6 +22i
6-221
-14 + 18i
6+22i
Answer:
-235+84i
Step-by-step explanation:
I hope this is what you were looking for.
Shantae's living room is 20.2 metres long and its width half the size of its length. What is the difference between the length and width of her living room?
For f(x) = √(x+4) , what is the value of the function when x = 8 ? Round to the nearest hundredth.
NEED ANSWER ASAP!!
Answer:
exact form : 2√3
decimal form : 3.46410161… or 3.46
hope this helps you!
Answer:
The value of the function is [tex]\sqrt{12}[/tex]. Rounded to the nearest hundredth, the answer is 3.46
Step-by-step explanation:
We are given the value of x, so we simply have to evaluate the function:
[tex]f(x)=\sqrt{x+4}[/tex]
Substitute 8
[tex]f(8)=\sqrt{8+4}[/tex]
Add in the radical
[tex]\sqrt{12}[/tex]
The value of the function is sqrt(12).
Rounded to the nearest hundredth: [tex]3.46[/tex]
Use the drawing tool(s) to form correct answer on the provided plot
Shawna oversees tour guides at a community college.each week she selects one day to record the number of tours each guide leads for prospective students. The results from last week are presented in the box plot below.
The data for this week is shown below and gives the number of tours led by each tour guide
{ 3,5,3,4,9,7,10,7,3,6,2,5}
Complete the box plot based on the data given above.
A construction of the box-and-whisker plot based on the data is shown below.
What is a box-and-whisker plot?In Mathematics and Statistics, a box plot is also known as a box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Based on the data (information) provided above, the five-number summary for the given data set include the following:
Minimum (Min) = 2.First quartile (Q₁) = 3.Median (Med) = 5.Third quartile (Q₃) = 7.Maximum (Max) = 10.In conclusion, we can reasonably infer and logically deduce that the maximum number is 10 while the minimum number is 2, and the median is equal to 5.
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Determine whether each pair of polygons is similar. If so, write a
similarity statement.
Answer:
The polygons are similar. They are similar in the way that the larger polygon is 3 times the size of the smaller one.
sphere a has a radius of r feet. sphere b has a radius of 2r feet. sphere c has a radius of 3r feet. write the appropriate values to complete the statements.
The volume of Sphere A is __ the volume of Sphere B.
The volume of Sphere C is __ times the volume of Sphere A.
1/27 1/9 1/8 1/4 2 8 9 27
Answer: 3r
Step-by-step explanation: because 2r+1r=3r
1.what is the cost of three 5kg bags of Rice at ¢2 par kg.
2.how many 2km price can I cut off a string of one meter long.
3. what fraction of a litre is 259 ml?
4.write 60ps as a decimal of ¢240.
5. how many groups of 4 mark 20.
6.an orange ¢150 .how much do 9 orange coast.
7. find the product of 35 and 12 .
8.how many 180g could be obtained from kg?
1. Using mathematical operations, the cost of three 5kg bags of rice at ¢2 per kg is ¢30.
2. From the 2km piece, you can cut 2,000 pieces with each one meter long.
3. The fraction of a liter that is 259 ml can be written as ²⁵⁹/₁₀₀₀.
4. 60ps expressed as a decimal of ¢240 is 0.25.
5. The groups of 4 marks in 20, based on a division operation, is 5.
6. If an orange costs ¢150, by multiplication, 9 oranges will cost ¢1,350.
7. The product of 35 and 12, which is a multiplication operation, is 420.
8. Using division operation, from 1 kg, one could obtain 5.55 units of 180g each.
What are mathematical operations?The four basic mathematical operations are addition, subtraction, division, and multiplication.
In this situation, the mathematical operations involved are division and multiplication.
1) The cost of price per kg = ¢2
The number of bags bought = 3
The weight per bag = 5kg
The total weight of 3 bags = 15kg (5 x 3)
The total cost = ¢30 (¢2 x 15)
2) The total length of the piece = 2km
1 km = 1,000 meters
2km = 2,000 meters
The length of each string = 1 meter
The number of strings = 2,000 (2,000 ÷ 1)
3) 1 liter = 1,000 ml
259 ml/1,000 ml = 259/1,000
= ²⁵⁹/₁₀₀₀
4) 60p as a decimal of ¢240
= 0.25 (60 ÷ 240)
5) 20 ÷ 4 = 5
4 x 5 = 20
6) The cost per orange = ¢150
The number of oranges bought = 9
The total cost of 9 oranges = ¢1,350 (¢150 x 9)
7) The product of 35 and 12 = 420 (35 x 12)
8) The quantity of each unit = 180g
The total quantity = 1 kg
1 kg = 1,000 g
5.55 (1,000 ÷ 180)
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what is the radius of the circle shown below x^2+y^2-8x-10y-8=0
Answer:
r = 7
Step-by-step explanation:
equation of circle is (x - a)² + (y - b)² = r²
where a is x-coordinate of centre of circle, b is y-coordinate of centre of circle, r is the radius. radius = half of diameter.
x² - 8x + y² - 10y = 8
we need to complete the sqaure for both x and y
x² - 8x = (x - 4)² = x² - 8x + 16, which is 16 more than x² - 8x. so we need to subtract that 16.
we now have (x - 4)² - 16.
now do the same with y
(y - 5)² = y² - 10y + 25, which is 25 more than y² - 10y. so we need to subtract 25.
we now have (y - 5)² - 25.
back to our full equation.
(x - 4)² -16 + (y - 5)² - 25 = 8
(x - 4)² + (y - 5)² - 41 = 8
(x - 4)² + (y + 5)² = 49 = r²
radius r = √49 = 7
identify all the situations that depict inverse variation.
Inverse variation is a relationship between two variables where one variable increases as the other variable decreases, and vice versa.
This means that as one variable doubles, the other variable will decrease by half, or vice versa.
The following are situations that depict inverse variation:
1. When you are traveling at a constant speed, the time it takes to cover a given distance is inversely proportional to the distance. This is because the distance will decrease as the speed increases.
2. If you have a light source, the intensity of the light decreases as you move further away from the source. This is because the distance between the source and the object increases as the intensity of the light decreases.
3. The force of gravity between two objects is inversely proportional to the square of the distance between them. This is because the force of gravity will decrease as the distance between the objects increases.
4. When the temperature of a gas decreases, its pressure increases. This is because the volume of the gas remains constant as the temperature decreases, which causes the pressure to increase according to the gas laws.
5. The period of a pendulum is inversely proportional to the square root of its length. This is because the length of the pendulum will decrease as the period increases.
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construction worker cuts a pace of electrical wires that is 7/8 of an inch in the length heat and cuts and other piece that is 5/8 of an inch in length what is the combined length of the pieces of wire
The combined length of the two pieces of wire is 3/2 inches or 1 and 1/2 inches.
To find the combined length of the pieces of wire, we need to add the lengths of the two pieces of wire together.
The first piece of wire is 7/8 of an inch long.
The second piece of wire is 5/8 of an inch long.
To add the two fractions, we need to find a common denominator. The smallest number that both 8 and 5 will divide into is 40.
7/8 can be rewritten as 35/40 (multiply the numerator and denominator by 5)
5/8 can be rewritten as 25/40 (multiply the numerator and denominator by 5)
Now we can add the two fractions:
35/40 + 25/40 = 60/40
Simplifying the fraction:
60/40 = 3/2
Therefore, the combined length of the two pieces of wire is 3/2 inches or 1 and 1/2 inches.
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The position of a particle on the x-axis at time t, t >0, is ln(t). The average velocity of the particle for 1 <= t <= e is.
A. (1/e) - 1
B. 1/(e - 1)
C. e
D. e - 1
Please show work
Answer:
Perdón no te puedo ayudar no entiendo
Step-by-step explanation:
To find the average velocity of the particle over the interval [1, e], we need to calculate the net displacement divided by the time interval.
Given the position function x(t) = ln(t), let's find the displacement by evaluating x(e) and x(1):
x(e) = ln(e) = 1
x(1) = ln(1) = 0
So, the net displacement is 1 - 0 = 1.
The time interval is e - 1.
Therefore, the average velocity is:
average velocity = (net displacement) / (time interval)
average velocity = 1 / (e - 1)
The correct answer is B. 1/(e - 1).
Select the system of linear inequalities whose solution is graphed. O y < 3x-2, x + 2y > 4 O y ≤ 3x-2, x + 2y 2 4 O y> 3x-2, x + 2y < 4 O y2 3x-2, x + 2y ≤ 4
Option D is the correct answer.
From the graph, we can conclude that,
1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.
2. The points on the lines of the shaded region are also included in the solution.
The only option that matches with the above conditions is option D. So, option D is the correct answer.
Let us verify it.
Now, let us consider a point that is inside the shaded region and also on any one line.
Let us take (0, 2).
Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.
Considering the inequalities,
y ≥ 3x - 2
x + 2y ≤ 4
Solving we get,
2 ≥ 3(0) - 2
2 ≥ -2
x + 2y ≤ 4
0 + 2(2) ≤ 4
4 ≤ 4
Here, both inequalities are correct.
So, option D is the correct answer.
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The complete question is =
Which system of linear inequalities is graphed?
A. y < 3x-2
x + 2y ≥ 4
B. y < 3x - 2
x + 2y > 4
C. y > 3x - 2
x + 2y < 4
D. y ≥ 3x - 2
x + 2y ≤ 4
help!!!
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Determine each segment length in right triangle ABC
According to the figure the required lengths are
BD = 7 units
BC = 9.9 units
How to find the required lengthsThe required lengths is solved knowing that in a right triangle having angle 45 degrees, the lengths of the legs of the right triangle are equal.
Also, the perpendicular bisector creates another angle 45 degrees at angle B.
hence we another right triangle with a leg as 7 units hence BD is 7 units
solving for BC
BC = BA
BC² + BA² = CA²
BC² + BC² = 14²
2 x BC² = 196
BC² = 98
BC = √(98)
BC = 9.9 units
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Solids Applied Problem
Find the volume of 1 coin from the stack below. Each coin has a radius of 0.5 in and the coins
are offset by 1 in. The slant is 7in long. Show your work.
The amount of volume of 1 coin in the stack underneath is 0.433 cm³. The distance between the coins is 1 in, and each coin having a radius approximately 0.5 in. 7 inches make up the tilt.
Any three-dimensional solid's volume is the area it takes up. The volume of these solids include cubes, cuboids, cones, cylinders, and spheres. Different shapes have different volumes. We have looked at a variety of three-dimensional solids and shapes, including cubes, cuboids, cylindrical objects, cones, and and more.
V= πD²×h/4
=π0.5²×7/4
= 0.433 cm³
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HELP ASAP/ Given line `t` on the graph provided, choose all points that lie on the line that passes through point `P` and is perpendicular to line ' t'
(choose all that apply)
All points that lie on the line that passes through point `P` and is perpendicular to line ' t' are: (4, -1) and (6, -5)
What is the equation of the line?The equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
Using two coordinates on line t as: (-4, 1) and (2, 4), the slope of the line t is:
Slope = (4 - 1)/(2 + 4)
Slope = 3/6
Slope = 1/2
Equation of line t is:
(y - 1)/(x + 4) = 1/2
y - 1 = x/2 + 2
y = ¹/₂x + 3
Thus, slope of line passing through P and perpendicular to t is: -1/(1/2) = -2
Now, coordinates of point P is (3, 1). Thus:
Equation passing through point P and perpendicular to line t is:
(y - 1)/(x - 3) = -2
y - 1 = -2x + 6
y = -2x + 7
The only coordinates that fits into this are (4, -1) and (6, -5)
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write the equation of a line that is perpendicular to x=8 and that passes through the point (-3,-2)
Answer:
y = - 2----------------
The line that is perpendicular to x = 8 has a form of:
y = aSince it has a point (-3, - 2), the value of a is the y-coordinate of this point. Therefore the line is:
y = - 2What is the area of the composite figure
Answer:
34 units²
Step-by-step explanation:
triangle=1/2×5×2=5
other triangle at the right=5
square 6 ×5= 30
unshaded square= 3×2=6
30-6=24
total=5+5+24=34units²
Help with te question pls.P.S. got reward
The amount of water that flows into the tank each minute is given as follows:
0.56 cm.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The dimensions for this problem are given as follows:
45 cm, 50 cm and 38 cm.
Hence the volume of the tank is given as follows:
V = 45 x 50 x 38
V = 85,500 cm³.
Three-fifths of the volume is given as follows:
3 x 85500/5 = 51300 cm³.
The height associated with 3/5 of the volume is given as follows:
50 x 38 x h = 51300
h = 51300/(50 x 38)
h = 27 cm.
This means that 27 - 13 = 14 cm flew into the tank in 25 minutes, hence the minute rate is given as follows:
14/25 = 0.56 cm.
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#11) Determine the period of the following trigonometric function y =
a) 360 b) 180°
c) 360
c) 120
d) 60*
The solution is: the period for the graph of y = cos (0) is:
c.360
We have the following equation:
y = cos (0)
The first thing you should know is that the period of a function is that value for which the function repeats itself.
We have then:
y = cos (0) = 1
y = cos (360) = 1
Therefore, the period is 360.
Answer:
the period for the graph of y = cos (0) is:
c.360
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complete question:
What is the period for the graph of y=cos(0)? (Sketch a graph to help determine the answer.)
a.180
b.90
c.360
d.270
An expression with three missing parts is shown. Write a whole number from 1 to 9 in each box
to create the expression with the greatest value when a = 5. Each whole number can only be
used once.
a+
1 2 3 4 5 6 7 8 9
The expression with the greatest value when a = 5 is:
a + 9 × 8 ÷ 7, with 9 in the first box, 8 in the second box, and 7 in the third box.
To create the expression with the greatest value when a = 5, we want to choose the largest possible numbers to fill in the missing parts.
Since each whole number can only be used once, we should choose the three largest numbers from 1 to 9.
The three largest numbers from 1 to 9 are 9, 8, and 7. So we can fill in the expression as follows:
a + 9 × 8 ÷ 7
When a = 5, this expression evaluates to:
5 + 9 × 8 ÷ 7 = 5 + 72 ÷ 7 = 15.2857...
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Joe wondered whether the days of the week of health clinic appointments at his clinic had an even distribution from Monday through Friday, so he took a random sample of
500
500500 health clinic appointments and recorded their days of the week. Here are his results:
Day Monday Tuesday Wednesday Thursday Friday
Appointments
115
115115
100
100100
115
115115
100
100100
70
7070
He wants to use these results to carry out a
�
2
χ
2
\chi, squared goodness-of-fit test to determine if the distribution of days of the week of the appointments disagrees with an even distribution.
What are the values of the test statistic and P-value for Joe's test?
The test statistic is 14.5 and the P-value is less than 0.05. Therefore, we have evidence to suggest that the distribution of days of the week of the appointments disagrees with an Even distribution.
To carry out the chi-squared goodness-of-fit test, we need to calculate the expected number of appointments for each day if there were an even distribution. Since there are 5 days of the week, each day would have an expected value of 100 (i.e., 500 appointments / 5 days = 100 appointments per day).
Day | Monday | Tuesday | Wednesday | Thursday | Friday
Observed | 115 | 100 | 115 | 100 | 70
Expected | 100 | 100 | 100 | 100 | 100
To calculate the chi-squared test statistic, we use the formula:
χ2= ∑ (observed − expected)^2 / expected
Plugging in the observed and expected values, we get:
χ2= [(115 - 100)^2/100] + [(100 - 100)^2/100] + [(115 - 100)^2/100] + [(100 - 100)^2/100] + [(70 - 100)^2/100]
= 2.75 + 0 + 2.75 + 0 + 9
= 14.5
To find the P-value, we need to use the chi-squared distribution table with 4 degrees of freedom (5 days of the week minus 1 for the expected value). Using the table, we find that the P-value for a chi-squared statistic of 14.5 with 4 degrees of freedom is less than 0.05. Therefore, we reject the null hypothesis that the appointments have an even distribution from Monday through Friday.the test statistic is 14.5 and the P-value is less than 0.05. Therefore, we have evidence to suggest that the distribution of days of the week of the appointments disagrees with an even distribution.
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How many multiples of both 2 and 5 are there in between 34 and 417?
The number of multiples of both 2 and 5 that are there between 34 and 417 is given as follows:
39.
How to obtain the multiples?The rules for the multiples of 2 and 5 are given as follows:
Multiples of 2: numbers finished in 0, 2, 4, 6, 8.Multiples of 5: numbers finished in 0 and 5.Hence the numbers that are multiples of both 2 and 5 finish in zero, which are the multiples of 10.
Then the divisions are given as follows:
417/10 = 41. -> integer part.34/10 = 3 -> integer part.Hence the number of multiples is given as follows:
41 - 3 + 1 = 39.
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Tanya has captured many purple-footed bog frogs. She weighs each one and
then counts the number of yellow spots on its back. This trend line is a. fit for these data.
O A weak
B. strong
C. parabolic
D. negative
Answer:
B) strong
Step-by-step explanation:
The correlation coefficient is close to 1, meaning it is both a strong correlation and a positive correlation.
Srekar needs to increase the length, width, and height of the prism below by 2 inches. The original prism has a length of 3 inches, a width of 2 inches, and a height of 1 inch. A prism has a length of 3, height of 1, and width of 2. Which statements about the new prism are true? Select three correct answers. The new prism will have a length of 5 because 3 + 2 = 5. The new prism will have a width of 4 because 2 + 2 = 4. The new prism will have a height of 2 because 1 times 2 = 2. The volume will increase by 6 because 2 times 3 = 6 and each of the 3 dimensions is increased by 2. Srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side. The volume of the new prism will be 20 times 3 = 60 because there will be 20 cubes in each layer and the height will be 3 so there will be 3 layers of 20 cubes each.
The three accurate statements concerning the new prism are as follows:
The new prism will possess a length of 5, which can be derived from the addition of 3 and 2 resulting in 5.The new prism will possess a width of 4, obtained by adding 2 and 2, yielding 4.The volume will experience a growth of 6 units, as each of the three dimensions is increased by 2.
This can be calculated by multiplying 2 by 3, resulting in an increase of 6.
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Enter a positive value for n that makes this statement true: 1 x n is greater than 1 but less than 2
A positive value for n that makes the statement true is n = 1.5.
We need to find a positive value for n that satisfies the given inequality: 1 < 1 x n < 2.
Step 1: Choose a value of n such that it's greater than 1 when multiplied by 1.
Step 2: Ensure the chosen value also makes the product less than 2 when multiplied by 1.
Let's try n = 1.5:
1 x 1.5 = 1.5
Now, let's check if it satisfies the inequality:
1 < 1.5 < 2
Yes, it does. So, a positive value for n that makes the statement true is n = 1.5.
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On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite
direction. The number b varies directly with the number a. For example b = 22 when a = - -2 Which equation
represents this direct variation between a and b?
The equation that represents the direct variation between a and b in the given problem is: b = -a. So, option is correct.
The statement "a number, b, is located the same distance from 0 as another number, a, but in the opposite direction" means that b = -a. The statement "The number b varies directly with the number a" means that b is proportional to a, or mathematically, b = k*a, where k is the constant of proportionality.
Substituting b = -a into the equation b = ka, we get -a = ka. Solving for k, we get k = -1. Therefore, the equation that represents the direct variation between a and b is b = -a which is option B, "-b = -a".
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Complete question - On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 22 when a = -2 Which equation represents this direct variation between a and b?
A. a = -1
B. -b = -a
C. b-a = 0
D. b(-a) = 0.
Question 1
Find the volume of the prism, Round your answer to the nearest tenth, if necessary.
13 m
3m
5m
Need help with this question?
The volume of the prism is 195 cubic meters.
To find the volume of the prism, we need to multiply the length, width, and height of the prism.
Length = 13 m
Width = 3 m
Height = 5 m
Volume = Length x Width x Height
Volume = 13 m x 3 m x 5 m
Volume = 195 cubic meters
6th grade of a school with a total of 90 students. In the year-end summary, the number of good students is equal to 1/6 of the students in the whole grade, the number of good students is equal to 40 of the students in the whole block, the average number of students is equal to 1/3 of the number of students in the whole grade. is the weak student again, calculate the number of students in each category
There are a total of 15 good students, 35 weak and 40 in bad shape if number of good students are fraction of 1/6th of total students.
As we know that the total number of students are 90.
Good students are fraction of 1/6th of total students.
Good students= 1/6x90
Good students=15
There are 40 good students in a whole block, so X = 40.
In the whole grade, average number of students is 1/3 of students in whole grade.
Students in each class = 1/3x90
Students in each class = 30
Students who are not good in economics and government = 90-40
Students who are not good in economics and government = 50
As the total number of students is sum of good students and weak students.
15+Weak students =90-40
15+Weak students=50
Weak students=50-15
Weak students=35
So, total of 15 good students, 35 weak and 40 in bad shape.
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